Finding the Third Proportional to 105,038 and 225,676

Step by Step Solution

1. Step 1: Write the proportion equation
   105,038 : 225,676 = 225,676 : x
2. Step 2: Convert to fraction form
   105,038/225,676 = 225,676/x
3. Step 3: Cross multiply
   105,038x = 225,676 × 225,676
4. Step 4: Simplify right side
   105,038x = 50,929,656,976
5. Step 5: Solve for x
   x = 50,929,656,976/105,038
6. Step 6: Final answer
   x = 484,868.88